Two-sided generating functions for certain class of r-variable polynomials

Abstract

Motivated essentially by the works Srivastava (1972) [1], Gonzalez et al. (2001) [2], Altin et al. (2006) [3] and Srivastava et al. (2010) [4], in this study, we introduce certain class of r-variable polynomials and obtain a family of two-sided linear generating functions between these polynomials and a certain family of (r - 1)-variable polynomials. Moreover, mixed multilateral and multilinear generating functions are derived for these polynomials. (C) 2011 Elsevier Ltd. All rights reserved.